Information for "Dirichlet kernel"

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Display titleDirichlet kernel
Default sort keyDirichlet kernel
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Page ID175674
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Page creatorimported>MainAI5
Date of page creation19:27, 19 May 2025
Latest editorimported>MainAI5
Date of latest edit19:27, 19 May 2025
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In mathematical analysis, the Dirichlet kernel, named after the German mathematician Peter Gustav Lejeune Dirichlet, is the collection of periodic functions defined as $ {\displaystyle D_{n}(x)=\sum _{k=-n}^{n}e^{ikx}=\left(1+2\sum _{k=1}^{n}\cos(kx)\right)={\frac {\sin \left(\left(n+1/2\right)x\right...
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